SemiBase

A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of [6, 5686], which generates the variety V[5686]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-0280f0d61bf706cd in the data of the bases-min seal.

Certified for

The identities

  1. xyx ≈ xy²
  2. x⁴ ≈ x³y
  3. x⁴ ≈ x²yx
  4. x⁴ ≈ x²yz
  5. xyx² ≈ xyxz
  6. xyx² ≈ xyzx
  7. xy²zt ≈ xyzt